Homotopy operations and rational homotopy type
| dc.creator | Blanc, David | |
| dc.date | 2004-10-05 | |
| dc.date.accessioned | 2026-07-07T05:12:51Z | |
| dc.date.available | 2026-07-07T05:12:51Z | |
| dc.description | We describe a collection of higher homotopy operations which determine the rational homotopy type of a simply-connected space X. These are described in terms of simplicial resolutions of successive approximations (L^k,α} to the Quillen DGL model for X. The operations lie in suitable cohomology groups H^*{L^{(k,α)}; π_* X\otimes Q} of these DGLs. To facilitate the recovery of an integral version of the operations from the rational description, we also define a differential graded non-associative algebra model for rational spaces. | |
| dc.description | 28 pages | |
| dc.identifier | https://arxiv.org/abs/math/0410075 | |
| dc.identifier | http://arxiv.org/abs/math/0410075 | |
| dc.identifier | "Algebraic Topology: categorical decomposition techniques", Progress in Mathematics 215 (2003), pp. 47-75 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/72738 | |
| dc.subject | Algebraic Topology | |
| dc.subject | 55P62; 55Q35, 55P15,18G50 | |
| dc.title | Homotopy operations and rational homotopy type | |
| dc.type | text |